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Author : Harry Gonshor
Release : 1986-09-18
Genre : Mathematics
Kind : eBook
Book Rating : 051/5 ( reviews)
Book Synopsis An Introduction to the Theory of Surreal Numbers by : Harry Gonshor
Download or read book An Introduction to the Theory of Surreal Numbers written by Harry Gonshor. This book was released on 1986-09-18. Available in PDF, EPUB and Kindle. Book excerpt: These notes provide a formal introduction to the theory of surreal numbers in a clear and lucid style.
Author : Harry Gonshor
Release : 2014-05-14
Genre : MATHEMATICS
Kind : eBook
Book Rating : 263/5 ( reviews)
Book Synopsis An Introduction to Surreal Numbers by : Harry Gonshor
Download or read book An Introduction to Surreal Numbers written by Harry Gonshor. This book was released on 2014-05-14. Available in PDF, EPUB and Kindle. Book excerpt: These notes provide a formal introduction to the theory of surreal numbers in a clear and lucid style.
Author : Donald Ervin Knuth
Release : 1974
Genre : Computers
Kind : eBook
Book Rating : 125/5 ( reviews)
Book Synopsis Surreal Numbers by : Donald Ervin Knuth
Download or read book Surreal Numbers written by Donald Ervin Knuth. This book was released on 1974. Available in PDF, EPUB and Kindle. Book excerpt: Nearly 30 years ago, John Horton Conway introduced a new way to construct numbers. Donald E. Knuth, in appreciation of this revolutionary system, took a week off from work on The Art of Computer Programming to write an introduction to Conway's method. Never content with the ordinary, Knuth wrote this introduction as a work of fiction--a novelette. If not a steamy romance, the book nonetheless shows how a young couple turned on to pure mathematics and found total happiness. The book's primary aim, Knuth explains in a postscript, is not so much to teach Conway's theory as "to teach how one might go about developing such a theory." He continues: "Therefore, as the two characters in this book gradually explore and build up Conway's number system, I have recorded their false starts and frustrations as well as their good ideas. I wanted to give a reasonably faithful portrayal of the important principles, techniques, joys, passions, and philosophy of mathematics, so I wrote the story as I was actually doing the research myself."... It is an astonishing feat of legerdemain. An empty hat rests on a table made of a few axioms of standard set theory. Conway waves two simple rules in the air, then reaches into almost nothing and pulls out an infinitely rich tapestry of numbers that form a real and closed field. Every real number is surrounded by a host of new numbers that lie closer to it than any other "real" value does. The system is truly "surreal." quoted from Martin Gardner, Mathematical Magic Show, pp. 16--19 Surreal Numbers, now in its 13th printing, will appeal to anyone who might enjoy an engaging dialogue on abstract mathematical ideas, and who might wish to experience how new mathematics is created. 0201038129B04062001
Author : Harry Gonshor
Release : 1986-09-18
Genre : Mathematics
Kind : eBook
Book Rating : 059/5 ( reviews)
Book Synopsis An Introduction to the Theory of Surreal Numbers by : Harry Gonshor
Download or read book An Introduction to the Theory of Surreal Numbers written by Harry Gonshor. This book was released on 1986-09-18. Available in PDF, EPUB and Kindle. Book excerpt: The surreal numbers form a system which includes both the ordinary real numbers and the ordinals. Since their introduction by J. H. Conway, the theory of surreal numbers has seen a rapid development revealing many natural and exciting properties. These notes provide a formal introduction to the theory in a clear and lucid style. The the author is able to lead the reader through to some of the problems in the field. The topics covered include exponentiation and generalized e-numbers.
Author : John H. Conway
Release : 2000-12-11
Genre : Mathematics
Kind : eBook
Book Rating : 152/5 ( reviews)
Book Synopsis On Numbers and Games by : John H. Conway
Download or read book On Numbers and Games written by John H. Conway. This book was released on 2000-12-11. Available in PDF, EPUB and Kindle. Book excerpt: Originally written to define the relation between the theories of transfinite numbers and mathematical games, the resulting work is a mathematically sophisticated but eminently enjoyable guide to game theory. By defining numbers as the strengths of positions in certain games, the author arrives at a new class that includes both real numbers and ordinal numbers: surreal numbers. The second edition presents developments in mathematical game theory, focusing on surreal numbers and the additive theory of partizan games.
